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Finding the Fourth Proportional to 3,010.47, 4,515.70 and 819.21

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Solution

The fourth proportional to 3,010.47, 4,515.70 and 819.21 is: 1,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.47 : 4,515.70 = 819.21 : x
  2. Step 2: Convert to fraction form
    3,010.47/4,515.70 = 819.21/x
  3. Step 3: Cross multiply
    3,010.47x = 4,515.70 × 819.21
  4. Step 4: Simplify right side
    3,010.47x = 3,699,323.02
  5. Step 5: Solve for x
    x = 3,699,323.02/3,010.47
  6. Step 6: Final answer
    x = 1,228.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.